Yes, with an expiration date of 7/24, it's unlikely we'll see beta 2 today. I could be wrong.

The two issues are entirely separate. The only real problem is when the expiration of the current beta passes before the new one is released. That has never happened with iOS betas, and Apple is usually at least 3 weeks ahead of the expiration date with the release of the new beta.

Just because the beta 1 doesn’t expire for another month is no reason not to expect the beta 2 release today. Beta releases are typically sent out every 2-3 weeks... rumors are rumors, but the current thought is to expect it today...